Pith Number

pith:MQJWXC6H

pith:2018:MQJWXC6HBG7BKICEJ2BF34QCMF

not attested not anchored not stored refs pending

q-Analogues of two "divergent" Ramanujan-type supercongruences

Victor J. W. Guo

arxiv:1802.01260 v1 · 2018-02-05 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQJWXC6HBG7BKICEJ2BF34QCMF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:24:26.927138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64136b8bc709be1520444e825df2026163789ff3b7c8b98578378756d345d115

Aliases

arxiv: 1802.01260 · arxiv_version: 1802.01260v1 · doi: 10.48550/arxiv.1802.01260 · pith_short_12: MQJWXC6HBG7B · pith_short_16: MQJWXC6HBG7BKICE · pith_short_8: MQJWXC6H

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MQJWXC6HBG7BKICEJ2BF34QCMF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 64136b8bc709be1520444e825df2026163789ff3b7c8b98578378756d345d115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be579ea067b204f5fe2d8c8de82e06f88d1f7838a944b0b0c2cf59194afa624d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-05T04:15:02Z",
    "title_canon_sha256": "f0217055efa04d56d818d26e8b8174bc27fe332636eae51ef855a928c21d61cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01260",
    "kind": "arxiv",
    "version": 1
  }
}